gbrand - Sampling from random distributions

       Written by Giulio Bottazzi

       Copyright  ©  2001-2018  Giulio  Bottazzi  This  program is free software; you can redistribute it and/or
       modify it under the terms of the GNU General Public License (version 2) as published by the Free Software
       Foundation;

       This program is distributed in the hope that it will be useful, but WITHOUT ANY  WARRANTY;  without  even
       the  implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
       License for more details.

gbrand 6.2                                          June 2021                                          GBRAND(1)

       Generates  a  grid of i.i.d. samples from a distribution. The name of the distribution and its parameters
       are specified on the command line.  the column index. Indeces start from 1. If more than one function are
       provided they are printed one after the other. The type of random number generator and the  default  seed
       can  be  set with the environment variables GSL_RNG_TYPE and GSL_RNG_SEED, respectively, as documented in
       GSL manual.

       gbrand -c 2 -r 100 gaussian 2.5
              generate two columns of 100 rows each sampling from  a  Gaussian  distribution  with  mean  0  and
              standard deviation 2.5

       gbrand -R 145 -r 1000 exponential 1
              one hundredth exponantial variates with parameters 1, the the seed of the RNG is set to 145

       gbrand -r 10 flat 3 4
              ten realizations of the r.v. uniformly distributed in [3,4]

       gbrand - Sampling from random distributions

-r     specify number of rows (default 1)

       -c     specify number of columns (default 1)

       -R     set the seed (default 1)

       -v     verbose mode

       -h     this help

   Listofvaliddistributions(withparameters):
       beta   a,b = shape parameters

       binomial
              p = probability, N = number of trials

       bivariate-gaussian
              sigmax = x std.dev., sigmay = y std.dev., rho = correlation

       cauchy a = scale parameter

       chisq  nu = degrees of freedom

       dir-2d none

       dir-3d none

       dir-nd n1 = number of dimensions of hypersphere

       erlang a = scale parameter, b = order

       exponential
              mu = mean value

       exppow a = scale parameter, b = power (1=exponential, 2=gaussian)

       aexppow
              m = mode, al = left scale, ar = right scale, bl = left shape, br = right shape

       fdist  nu1, nu2 = degrees of freedom parameters

       flat   a = lower limit, b = upper limit

       gamma  a = order, b = scale

       gaussian-tail
              a = lower limit, sigma = standard deviation

       gaussian
              sigma = standard deviation

       geometric
              p = bernoulli trial probability of success

       gumbel1
              a = order, b = scale parameter

       gumbel2
              a = order, b = scale parameter

       hypergeometric
              n1 = # tagged, n2 = # untagged, t = number of trials

       laplace
              a = scale parameter

       landau none

       levy   c = scale, a = power (1=cauchy, 2=gaussian)

       levy-skew
              c = scale, a = power (1=cauchy, 2=gaussian), b = skew

       logarithmic
              p = probability

       logistic
              a = scale parameter

       lognormal
              zeta = location parameter, sigma = scale parameter

       negative-binomial
              p = probability, a = order

       pareto a = power, b = scale parameter

       pascal p = probability, n = order (integer)

       poisson
              mu = scale parameter

       rayleigh-tail
              a = lower limit, sigma = scale parameter

       rayleigh
              sigma = scale parameter

       tdist  nu = degrees of freedom

       ugaussian-tail
              a = lower limit

       ugaussian
              none

       weibull
              a = scale parameter, b = exponent

       pareto3
              a = power, b = exponential parameter, s = scale parameter

       Report bugs to <gbutils@googlegroups.com>

       Package home page <http://cafim.sssup.it/~giulio/software/gbutils/index.html>

gbrand [options] NAMEPARAMETERS...